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Finding the Third Proportional to 12,894.19 and 24,193.69

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Solution

The third proportional to 12,894.19 and 24,193.69 is: 45,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.19 : 24,193.69 = 24,193.69 : x
  2. Step 2: Convert to fraction form
    12,894.19/24,193.69 = 24,193.69/x
  3. Step 3: Cross multiply
    12,894.19x = 24,193.69 × 24,193.69
  4. Step 4: Simplify right side
    12,894.19x = 585,334,514.85
  5. Step 5: Solve for x
    x = 585,334,514.85/12,894.19
  6. Step 6: Final answer
    x = 45,395.22

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.